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Finding the Fourth Proportional to 284,162.32, 392,127.24 and 156,834.64

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Solution

The fourth proportional to 284,162.32, 392,127.24 and 156,834.64 is: 216,422.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,162.32 : 392,127.24 = 156,834.64 : x
  2. Step 2: Convert to fraction form
    284,162.32/392,127.24 = 156,834.64/x
  3. Step 3: Cross multiply
    284,162.32x = 392,127.24 × 156,834.64
  4. Step 4: Simplify right side
    284,162.32x = 61,499,134,519.59
  5. Step 5: Solve for x
    x = 61,499,134,519.59/284,162.32
  6. Step 6: Final answer
    x = 216,422.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.